Calculator of some special mathematical functions

• Published in: Serbian journal of electrical engineering Vol. 21; no. 3; pp. 345 - 357
• Main Authors: Lazic, Sara, Iricanin, Bratislav
• Format: Journal Article
• Language: English
• Published: Faculty of Technical Sciences in Cacak 2024
• Subjects: gamma function; numerical approximations; numerical calculator; orthogonal polynomials; special functions
• ISSN: 1451-4869; 2217-7183
• DOI: 10.2298/SJEE2403345L

This paper presents the implementation of a calculator of certain special mathematical functions in the form of an efficient web application with a simple and intuitive GUI (graphical user interface). This application aims to enable accurate numerical approximations of the most frequently used special mathematical functions in engineering and science, eliminating the need to acquire additional notational knowledge or programming language syntax experience. The investigation can be divided into three larger units. The initial section offers brief overview of the special mathematical functions of which numerical approximations are implemented in the subject application. For the time being, this application provides approximations for the following special mathematical functions: Bessel functions of the first kind, gamma and beta functions, and some orthogonal polynomials - Legendre, Laguerre, Hermite (physicist?s and probabilist?s) polynomials, Chebyshev polynomials of the first and the second kind, as well as Jacobi polynomials. The middle section presents a description of the computer implementation - an overview of the used technology and implemented algorithms, while the final section includes a discussion of the solution, as well as a comparison with existing software that provides the same features as the subject application.